Information on Result #706794
Linear OA(4139, 294, F4, 45) (dual of [294, 155, 46]-code), using construction XX applied to C1 = C([247,34]), C2 = C([0,36]), C3 = C1 + C2 = C([0,34]), and C∩ = C1 ∩ C2 = C([247,36]) based on
- linear OA(4121, 255, F4, 43) (dual of [255, 134, 44]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−8,−7,…,34}, and designed minimum distance d ≥ |I|+1 = 44 [i]
- linear OA(4101, 255, F4, 37) (dual of [255, 154, 38]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,36], and designed minimum distance d ≥ |I|+1 = 38 [i]
- linear OA(4125, 255, F4, 45) (dual of [255, 130, 46]-code), using the primitive BCH-code C(I) with length 255 = 44−1, defining interval I = {−8,−7,…,36}, and designed minimum distance d ≥ |I|+1 = 46 [i]
- linear OA(497, 255, F4, 35) (dual of [255, 158, 36]-code), using the primitive expurgated narrow-sense BCH-code C(I) with length 255 = 44−1, defining interval I = [0,34], and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(413, 34, F4, 7) (dual of [34, 21, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), using
- linear OA(49, 17, F4, 7) (dual of [17, 8, 8]-code), using
- (u, u+v)-construction [i] based on
- linear OA(41, 5, F4, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.